Question

Jonathan has 30 chocolates. He gives some chocolates to his friend David. He then gives Sarah half the number of chocolates that he gave David and gives Lily two-thirds of what he gave David. After giving away the chocolates, Jonathan has 4 chocolates left. If the number of chocolates Jonathan gives David is x, which equation represents the situation? How many solutions does this equation have?

A. x + 1/2x + 2/3x = 30 - 4, which has no solution.
B. x + 1/2x + 2/3x = 30, which has infinitely many solutions.
C. x + 1/3x + 2/3x - 4 = 30, which has one solution.
D. x + 1/2x + 2/3x + 4 = 30, which has one solution.
E. 1/2x + 2/3x = x - 4, which has no solution.

Answer 1

Part 1)
David = x
Sarah = 1/2x
Lily= 2/3x
David + Sarah + Lily+ the 4 left over= 30
x + 1/2x + 2/3x +4= 30 equation
Part 2)
number of solutions
x + 3/6x + 4/6x + 4= 30
13/6x= 26
x= 12 He gave David 12, thus there is one equation
Check:
12 + 1/2(12) + 2/3(12) + 4=
12 + 6 + 8 + 4= 30
Good luck, hope this helps.